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Finding the Fourth Proportional to 265.97, 399.06 and 92.66

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Solution

The fourth proportional to 265.97, 399.06 and 92.66 is: 139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 399.06 = 92.66 : x
  2. Step 2: Convert to fraction form
    265.97/399.06 = 92.66/x
  3. Step 3: Cross multiply
    265.97x = 399.06 × 92.66
  4. Step 4: Simplify right side
    265.97x = 36,977.15
  5. Step 5: Solve for x
    x = 36,977.15/265.97
  6. Step 6: Final answer
    x = 139.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.